Three novel supramolecules whose topologies depend on the counteranion, [Ag(2-AMPDPN)X] (X = CF3SO3- (1), ClO4- (2), and NO3- (3)), have been prepared by the self-assembly of AgX (X = CF3SO3-, ClO4-, and NO3-) with 2-aminomethylpyridinedipropionitrile (2-AMPDPN). The crystal structures reveal different packing arrangements of the one-dirnensional infinite coordination polymers. Compound 1 is made up of ladder chains that Lire interlocked by cyano groups, while the polymeric chain of 2 is isomorphous to 1 except for the Ag-Ag interaction. Compound 3 consists of helical chains that are surrounded by nitrate. The adjacent helical chains are racemic. The structures of 1, 2, and 3 suggest the role that the counterions may play in the network construction.